Answer:
Step-by-step explanation:
Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)
Given P = 30ft, on substituting P = 30 into the expression;
30 = 2(x+y)
x+y = 15
y = 15-x
Also since the area of the rectangle is xy;
A = xy
Substitute y = 15-x into the area;
A = x(15-x)
A = 15x-x²
The function that models its area A in terms of the length x of one of its sides is A = 15x-x²
The side of length x yields the greatest area when dA/dx = 0
dA/dx = 15-2x
15-2x = 0
-2x = -15
x = -15/-2
x = 7.5 ft
Hence the side length, x that yields the greatest area is 7.5ft.
Since y = 15-x
y = 15-7.5
y = 7.5
Area of the rectangle = 7.5*7.5
Area of the rectangle = 56.25ft²
Answer:
Reciprocal of 5/18 is 18/5.
5/18 x 18/5 = 90/90
= 1
Answer:
48 apartments did not have a view of the park.
Step-by-step explanation:
25% of 64 (total)= 16 (number of people with view)
64 ( total)-16 (# of people with a view)= 48 (number of people without a view)
Answer:
There are 60 lemon cookies.
Step-by-step explanation:
1/2/240=120
3/20/240=36
1/10/240=24
120+36+24=180
240-180=60
Answer:
They're both science
Step-by-step explanation:
